Thank you! For this question, you will flip fair coin to take some samples and analyze...

Thank you!

For this question, you will flip fair coin to take some samples and analyze them. First, take any fair coinand flip it 12 times. Count the number of heads out of the 12 flips. This is your first sample. Do this 4 more timesand count the number of heads out of the 12 flips in each sample. Thus, you should have 5 samples of 12 flipseach. The important number is the number of heads in each sample (this can be any whole number between 0 and12). Then answer the following questions:

(A) If you had a very large number of samples, what value(s) should the mean and median have? Why?

(B) In general, what proportion of samples of fair coin flips (when N is sufficiently large that a rejection region of the binomial distribution exists) should result in rejecting the null hypothesis (a = .05, two-tailed)?

Expert Solution

orchestra answered 1 year ago

If you flip a fair coin, the probability that the result is heads will be 0.50....

If you flip a fair coin, the probability that the result is heads will be 0.50. A given coin is tested for fairness using a hypothesis test of H0:p=0.50 versus HA:p≠0.50. The given coin is flipped 180 times, and comes up heads 110 times. Assume this can be treated as a Simple Random Sample. The test statistic for this sample z and the p value

You roll two fair four-sided dies and then flip a fair coin. The number of flips...

You roll two fair four-sided dies and then flip a fair coin. The number of flips is the total of the roll. a. Find the expected value of the number of heads observed. b. Find the variance of the number of heads observed.

1. I propose to you the following gamble: I flip a fair coin, and if it...

1. I propose to you the following gamble: I flip a fair coin, and if it is heads, I give you $5. If it is tails, you give me $6. What is the expected value of this gamble? 2. So you correctly surmised that question 1 was a bad gamble. How about the following? You have a utility function of U = X0.5, where X is your wealth. You currently have $100. I propose this fair coin flip: If it...

please do this as simple as you can! if you flip a fair coin 10 times...

please do this as simple as you can! if you flip a fair coin 10 times what is the probability of a) getting all tails? b) getting all heads c) getting atleast 1 tails

what is the probablity you flip a coin and get a head, flip another coin and...

what is the probablity you flip a coin and get a head, flip another coin and get a tail and then draw a blavk card from a deck of cards?

(a) You flip a fair coin four times, generating the sequence HTTH. What is the probability...

(a) You flip a fair coin four times, generating the sequence HTTH. What is the probability of that result occurring? (b) What is the probability that flipping a fair coin twice produces a head on one of those flips and a tail on the other flip? (c) What is the probability that flipping a fair coin four times produces two heads and two tails, in any order? (d) What is the probability that flipping a fair coin ten times produces...

Every day you flip a fair coin four times and if it is heads all four...

Every day you flip a fair coin four times and if it is heads all four times, you give a dollar to charity. In a year with 365 days, what is your expected annual donation to charity and what is the variance?

I flip a fair coin and recorded the result. If it is head, I then roll...

I flip a fair coin and recorded the result. If it is head, I then roll a 6-sided die: otherwise, I roll a 4-sided die and record the results. Let event A be the die has a 3 or greater. let event B be I flip tails. (a)-List all the outcomes in the Sample space (b)- List the outcomes in Event A and B (c)- List the outcomes in A or not B (d)- Calculate the probability of event A...

Flip a fair coin 4 times. Let ? and ? denote the number of heads and...

Flip a fair coin 4 times. Let ? and ? denote the number of heads and tails correspondingly. (a) What is the distribution of ?? What is the distribution of ? ? (b) Find the joint PMF. Are ? and ? independent? (c) Calculate ?(? ?) and ?(X≠?)(d) Calculate C??(?, ? ) and C???(?, ? )

We toss a fair 6 sided die and flip a fair coin twice. Define the random...

We toss a fair 6 sided die and flip a fair coin twice. Define the random variable Y1 to be the number of sports atop the die. Define Y2 to be the total number of heads obtained on the two flips of the coin. a) Find the mean value and standard deviation of Y1. b) Find the mean value and standard deviation of Y2. c) Find the mean value and standard deviation of Y1+Y2. d) What are the mean value...

Question